Suppose a playlist you just created has 13 tracks. After listening to the playlist, you decide that

Question:

Suppose a playlist you just created has 13 tracks. After listening to the playlist, you decide that you like 5 of the songs. The random feature on your music player will play each of the 13 songs once in a random order. Find the probability that among the first 4 songs played
(a) You like 2 of them;
(b) You like 3 of them;
(c) You like all 4 of them.